A manufacturing method of a capacitor of a semiconductor device includes a first step of forming a graphene seed film over a substrate; a second step of increasing surface energy of the graphene seed film and performing a first plasma process to the graphene seed film; a third step of growing a graphene on the graphene seed film; a fourth step of growing a nano tube or a nano wire using the graphene as a mask; and a fifth step of sequentially forming a dielectric film and a conductive layer over the nano tube or the nano wire.